Recent content by horses

  1. H

    Finding Lines in R3 Satisfying Conditions

    hm yeah I just tried the calculus way, it works great. I got t = .2666666 and u = .46666, then checked by plugging them back in and I get the 2/sqrt(6) so yeah it works. thanks a lot! I'll try the non calculus way right now. k just tried vector way and got same answer, thx. oh and btw I...
  2. H

    Finding Lines in R3 Satisfying Conditions

    im sorry, but I don't understand. What do you mean "use calculus to minimize d2? you mean take derivative of d and set it to 0? Then in this case ut/√6 would just be 0, and that doesn't make sense. When I'm finding the shortest distance between two lines I'm taking the cross product of their...
  3. H

    Finding Lines in R3 Satisfying Conditions

    Homework Statement Find two lines in R3 in parametric form which satisfy the following conditions. Also, find the points on the lines which achieve the closest distance. Conditions: 1. They are not parallel to any of the coordinate planes 2. They do not intersect and are not parallel 3. They...
  4. H

    Finding three planes which intersect a point with lines

    this can be closed as I slept on it and figured it out... once you know the vectors you can find the planes since there are multiple answers you can choose values of a,b,c as long as they satisfy the perpendicular equation and going through the point 1,1,1.
  5. H

    Finding three planes which intersect a point with lines

    Homework Statement The three lines intersect in the point (1; 1; 1): (1 - t; 1 + 2*t; 1 + t), (u; 2*u - 1; 3*u - 2), and (v - 1; 2*v - 3; 3 - v). How can I find three planes which also intersect in the point (1; 1; 1) such that each plane contains one and only one of the three lines?Homework...
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